14.

(a) With Eq. 40-11, we compare the ψ

2

1

and ψ

2

2

graphs in Fig. 40-6. The former has a maximum at the

center and the latter is zero there. Thus, the excitation of the system described in this problem
implies the electron has become much less likely to be detected near the middle of the well.

(b) Examining the 0

≤ x ≤ 25 pm regions of those two graphs, we conclude that the excited state

electron is somewhat more likely to be “near” (not “at”) a well wall. Eq. 40-13 supports this
conclusion in the sense that there is more “area” under the curve of ψ

2

2

in the 0

≤ x ≤ 25 pm region

than under the ψ

2

1

curve for that region.